In large mixing bowl, let cheeses and butter stand at room temperature 30 minutes.
Preheat oven to 350°F. Beat cheeses and butter with electric mixer on low speed until combined. Add flour, salt, cayenne pepper, paprika and dry mustard; beat until combined.
Place dough in cookie press fitted with star plate. Press onto ungreased baking sheets in 5-inch strips.
Bake 15 to 20 minutes or until done (do not brown).
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